As a simple one-dimensional chaotic system, logistic map has some important applications in many fields. The stable entropy characteristic of logistic function is proposed in this paper. A series of logistic sequence entropy, calculated under different initial values and values of parameter µ, is found to have some special distributions. A great number of numerical simulations prove that the entropy is determined by parameter µ, and it is irrelevant with initial value. The logistic sequence

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... mes a uniform distribution, and its entropy is close to a maximum, when µ is increased to 4. Thereby the stationary quality of logistic chaos can be speculated to some extent.